SOLUTION: Solve and graph the solution of |3x-7|greater or equal to 23 (X-1)(x+3)(x2)<0

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Question 971163: Solve and graph the solution of
|3x-7|greater or equal to 23
(X-1)(x+3)(x2)<0
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!

Use the two possible conditions for your absolute value inequality. Either 3x-7 is non-negative or it is negative.
Solve according to BOTH of those conditions. You will have the two equations:
system%283x-7%3E=23%2C-%283x-7%29%3E=23%29

The next inequality should be examined for signs of the four critical values which make the
intervals on the x-number line. Less than zero means negative; not less than zero means non negative.
Part of inequality is not written properly, so assumed to mean %28x-1%29%28x%2B3%29%28x%5E2%29%3C0.

Pick a value inside each of the intervals: -infinity%3Cx%3C-3, -3%3Cx%3C0,+0%3Cx%3C1, 1%3Cx%3Cinfinity.